%I #30 Jul 08 2025 18:07:50

%S 1,29,542,8326,114639,1474683,18136084,216253052,2522916077,

%T 28975740937,329016750426,3704913244578,41464099463515,

%U 461955078856391,5129492632272368,56816621295693304,628178610574416153

%N Expansion of 1/((1-3x)(1-7x)(1-8x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -299, 1279, -1848).

%F a(0)=1, a(1)=29, a(2)=542, a(3)=8326, a(n)=29*a(n-1)-299*a(n-2)+ 1279*a(n-3)- 1848*a(n-4). [_Harvey P. Dale_, Jul 27 2011]

%F a(n)=(5*11^(n+3)-32*8^(n+3)+30*7^(n+3)-3^(n+4))/480. [_Yahia Kahloune_, May 27 2013].

%t CoefficientList[Series[1/((1-3x)(1-7x)(1-8x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[{29,-299,1279,-1848},{1,29,542,8326},30] (* _Harvey P. Dale_, Jul 27 2011 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_